Dan wants to make trail mix made up of almonds, pecans, and raisins. He wants a mix of one part almonds, two parts pecans, and t

Question

3 years ago

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Dan wants to make trail mix made up of almonds, pecans, and raisins. He wants a mix of one part almonds, two parts pecans, and t

hree parts raisins. Almonds cost $12 per pound, pecans cost $8 per pound, and raisins cost $4 per pound. Dan has $30 to spend on the trail mix. Which equation can be used to find how many pounds of trail mix he can buy for $30? A) 12x + 8x + 43x = 30 B) 12x + 8x + 43x = 90 C) 12x + 8(2x) + 4(3x) = 30 D) 12x + 8(2x) + 4(3x) = 90

Mathematics

1 answer:

Novay_Z [31] · Answer 1 · 2022-09-19T14:29:05+03:00

The right answer is Option C.

Step-by-step explanation:

Let,

x be the quantity of almonds, pecans and raisins.

One part almonds = x

Two part pecans = 2x

Three part raisins = 3x

Cost of almonds per pound = $12

Cost of x almonds = 12x

Cost of pecans per pound = $8

Cost of 2x pecans = 8(2x)

Cost of raisins per pound = $4

Cost of 3x raisins = 4(3x)

Total amount Dan has = $30

According to given statement;

12x + 8(2x) + 4(3x) = 30

Therefore,

The right answer is Option C.

Keywords: Linear equations, addition

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